Linear periodic controller design for decentralized control systems |
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| Affiliation: | 1. Electrical and Computer Engineering Department, University of Waterloo, Waterloo, Ontario, Canada;2. Electrical and Computer Engineering Department, University of Toronto, Toronto, Ontario, Canada;1. Department of Aerospace & Ocean Engineering, Virginia Tech, Blacksburg, VA 24061, USA;2. Department of Industrial & Enterprise Systems Engineering, University of Illinois, Urbana, IL 61801, USA;1. College of Chemistry, Jilin University, Changchun 130012, P.R. China;2. State Key Laboratory of Inorganic Synthesis and Preparative Chemistry, College of Chemistry, Jilin University, Changchun 130012, P.R. China;1. Center for Systems, Dynamics and Control, University of Exeter, Exeter, EX4 4JN, United Kingdom;2. Northumbria University, Newcastle upon Tyne, NE1 8ST, United Kingdom;1. Department of Physics, University of Mohaghegh Ardebili, 56199-11367 Ardebil, Iran;2. Department of Physics, Tafresh University, 39518-79611 Tafresh, Iran |
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| Abstract: | In the decentralized control of linear time-invariant (LTI) systems, a decentralized fixed mode (DFM) is a system mode which is immoveable using an LTI controller, while a quotient DFM (QDFM) is one which is immoveable using any form of nonlinear time-varying compensation. If a system has no unstable DFMs, there are well-known procedures for designing an LTI stabilizing controller; for systems which have unstable DFMs but no unstable QDFMs, we provide a simple design algorithm which yields a linear periodic sampled-data stabilizing controller. |
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| Keywords: | Decentralized control Decentralized fixed modes Quotient decentralized fixed modes Linear periodic control |
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